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## Precalculus

### Course: Precalculus>Unit 7

Lesson 6: Using matrices to manipulate data

# Using matrices to manipulate data: Game show

In other videos, we saw how we can use matrices to represent real-world situations. Once we do that, we can also manipulate the matrices (using common matrix operations like addition, subtraction, and scalar multiplication) to reveal more information about the context. Here, we manipulate matrices that represent the possible prizes in a game show. Created by Sal Khan.

## Want to join the conversation?

• I found it a little confusing whether the lightning round would be doubling Matrix A or Matrix B. This didn't seem clear from the question.
(1 vote)
• "We're told, at the beginning of each episode of a certain game show, each contestant picks a certain door out of three doors. Then the game show host randomly picks one of the two prize bundles. After each round, each contestant receives a prize based on the door they picked and the bundle the host picked."
Why is this so confusing?
(1 vote)
• The statement may be confusing because it contains multiple variables and actions that occur in a specific order. Additionally, it may be unclear what the specific rules or mechanics of the game show are. However, with a bit of attention and re-reading, it is possible to understand the scenario. Essentially, each contestant selects a door, and the game show host selects a prize bundle. The prize the contestant receives depends on which door they selected and which prize bundle the host picked. There are also multiple rounds, and in the second round, the prizes are doubled if it is a lightning round.
(1 vote)